讲解图中的题目---Here is the extracted content from the image:
**Section Title:**
四、解答题 (Four, Problem Solving Questions)
**Question Stem (Question 6):**
如图: 长方形 ABCD 的面积是 180 平方分米, 三角形 DOE 的面积是 22.5 平方分米, DO=7.5 分米。
求:
① CE 的长度:
② 三角形 AOD 的面积。
*(Translation: As shown in the figure: The area of rectangle ABCD is 180 square decimeters, the area of triangle DOE is 22.5 square decimeters, DO=7.5 decimeters. Find: ① The length of CE: ② The area of triangle AOD.)*
**Chart/Diagram Description:**
* **Type:** Geometric figure.
* **Main Elements:**
* A rectangle ABCD is depicted, with vertices labeled A (top-left), B (bottom-left), C (bottom-right), and D (top-right).
* Point E is located on the extension of line segment BC, such that C is between B and E.
* Point O is the intersection of line segment AE and line segment CD.
* Line segments AB, BC, CD, DA form the sides of the rectangle.
* Line segment AE is drawn, passing through O.
* Line segment DE is drawn.
* **Labels and Annotations:**
* The value "180" is annotated near the center of the rectangle ABCD, indicating its area is 180 square decimeters.
* The value "22.5" is annotated within triangle DOE, indicating its area is 22.5 square decimeters.
* The value "7.5" is annotated next to line segment DO, indicating its length is 7.5 decimeters.
* All vertices (A, B, C, D, E) and point O are clearly labeled.
* **Relative Position and Direction:**
* ABCD forms a quadrilateral with right angles at each vertex, characteristic of a rectangle.
* AB is parallel to CD, and AD is parallel to BC.
* Point O lies on the side CD.
* Point E lies to the right of C along the line containing BC.
* Line segment AE connects A to E and passes through O.
**Provided Solution/Working for Part ①:**
①
22.5 × 2 ÷ 7.5
= 45 ÷ 7.5
= 6 (dm)
答: CE 的长度是 6 dm.
*(Translation of answer: Answer: The length of CE is 6 dm.)*
**Other Text:**
24 (This appears to be a page number.)